Order of Operations - ISEE Middle Level: Mathematics Achievement

$3$. Parentheses are evaluated first, so multiply 3 by 2 before dividing 18 by the result.

$13$. Division and multiplication are performed left to right, so divide 6 by 3, multiply by 2, then add to 9.

$0$. Evaluate the exponent first, then multiplication, and finally subtraction.

$20$. Evaluate parentheses first, then the exponent, and finally subtract 5.

$14$. Evaluate parentheses first, then the exponent, followed by multiplication, and finally addition.

$6$. The fraction $\frac{3}{4}$ multiplies directly with 8, as there are no other operations requiring precedence.

$7$. Multiplication is performed before addition, so multiply $\frac{1}{2}$ by 8 first, then add 3.

$10$. Division is performed before addition, so divide 24 by 3 first, then add 2.

$3$. Evaluate parentheses first, then multiplication by 3, and finally subtract from 12.

$13$. Evaluate parentheses first, then implied multiplication by 2, and finally add to 7.

$9$. Evaluate parentheses first, then implied multiplication by 2, and finally subtract 3.

$9$. The parentheses include the negative sign, so square -3 directly.

$-9$. Exponents are evaluated before the negative sign, so compute $3^2$ and then apply the unary minus.

$2$. Exponents are evaluated before subtraction, so compute $2^2$ first, then subtract from 6.

$9$. Exponents are evaluated before subtraction, so compute $5^2$ and $4^2$ first, then subtract.

$13$. Exponents are evaluated before addition, so compute $2^3$ first, then add 5.

$12$. Division and multiplication are performed left to right, so divide 18 by 3 first, then multiply by 2.

$14$. Parentheses are evaluated first, so add 3 and 4 before multiplying by 2.

Subtraction, because $-$ and $+$ go left to right. Addition and subtraction are performed left to right after multiplication and division.

Division, because $\div$ and $\times$ go left to right. Multiplication and division are performed left to right after parentheses and exponents.

Evaluate the exponent: $4^2$. According to the order of operations (PEMDAS), exponents are evaluated before addition.

Evaluate the parentheses: $(2 + 1)$. According to the order of operations (PEMDAS), parentheses are evaluated before multiplication and subtraction.

$\frac{24}{5}$. Parentheses are evaluated first, so add 3 and 2 before dividing 24 by the result.

$3$. Divisions are performed left to right, so divide 30 by 5 first, then divide the result by 2.